3 papers
math.DG2003
Connections for general group actions
Debra Lewis, Nilima Nigam, Peter Olver
Partial connections are (singular) differential systems generalizing classical connections on principal bundles, yielding analogous decompositions for manifolds with nonfree group…
solv-int1999
Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
Niky Kamran, Robert Milson, Peter Olver
We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant s…
hep-th1996
Lie Algebras of Differential Operators and Partial Integrability
Federico Finkel, Artemio Gonzalez-Lopez, Niky Kamran +2
This paper surveys recent work on Lie algebras of differential operators and their application to the construction of quasi-exactly solvable Schroedinger operators.